simplify the expression by combing terms.

8a+4b+2c-3b+a

Answer:

total area: 141 in²

Step-by-step explanation:

area of the figure: area of two triangles together + area of trapezium

area of the figure: 1/2 * base * height + 1/2 * ( a + b ) * height

area of the figure: 1/2 * 6 * 8 + 1/2 * ( 10 + 16 ) * 9

area of the figure: 24 + 117

area of the figure: 141 in²

Answer:

8 cookies left to be baked

Step-by-step explanation:

Len

Len bakes 1/3 of 30 cookies

To find 1/3 of 30, divide 30 by 3 then multiply by 1:

[tex]\implies \frac{30}{3} \times1=10 \times 1=10[/tex]

Therefore, Len bakes 10 cookies

Sallesh

Sallesh bakes 2/5 of 30 cookies

To find 2/5 of 30, divide 30 by 5 then multiply by 2:

[tex]\implies \frac{30}{5} \times2=6 \times 2=12[/tex]

Therefore, Sallesh  bakes 12 cookies

Cookies left to bake

To calculate how many cookies are left to bake, subtract the found number of cookies Len and Sallesh have baked from 30:

30 - 10 - 12 = 8

So there are 8 cookies left to be baked.

Total cookies both baked

[tex]\\ \tt\longmapsto \dfrac{1}{3}+\dfrac{2}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{5+6}{15}=\dfrac{11}{15}[/tex]

Cookies left:-

[tex]\\ \tt\longmapsto 30-11/15(30)=30-22=8[/tex]

Answer:

-10 1/2

Step-by-step explanation:

-2 2/5 times 4 3/8

Turn fractions into mixed numbers: -12/5 and 35/8

Cross multiply: -12/5 times 35/8= 21/2

Turn fraction back into proper fraction: -10 1/2

Answer:

ok so from looking at this if he earns 14 dollars he saves 5 so he saves

5/14 so lets just multiply this by the 56

56*5/14=20

so he saves 20

20

Hope This Helps!!!

Answer:

13.86

Step-by-step explanation:

Note m∠ADB = m∠ABC, and m∠A = m∠A, so

ΔABD ~ ΔABC

AD : x = x : AC

AD : x = x : (AD + DC)

12 : x = x : 16

x^2 = 12 * 16 = 192

[tex]x=\sqrt{192} = 13.86[/tex]

Hey there! Your answer is:

17692.4142

Hope this helps! :D

Answer:

13

Step-by-step explanation:

The biggest number minus the smallest number.

Answer:

13

Step-by-step explanation:

the highest value is 45

the lowest value is 32

subtract them from each other and you get 13

The expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.

A simplified expression is an expression that is evaluated to its simplest form, that is, it cannot be simplified further.

Given:

(6x - 2) - (-x + 5)

Open the bracket by multiplying each of the terms in (-x + 5) by the negative sign (-):

6x - 2 + x - 5

Combine like terms

7x - 7

Thus, the expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.

Learn more about simplified expressions on:

https://brainly.com/question/25802006

Answer:

-8

Step-by-step explanation:

136/-17 when simplified because -10-7=-17 then plug into a calculator and you get -8

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Given equations:

x+y=7

x = 5 .........given that x is 5

--------------------------------------------------------------------

5 + y = 7  ...............replace x as 5 here.

y = 7 - 5

y = 2

Answer:

513.954016

Step-by-step explanation:

If what you mean was (6^5/7^3)^2 than:

(6^5/7^3)^2 is equal around 513.954016

Answer:

100 ft

Step-by-step explanation:

1 yd = 3 ft

Gena: 12 yd= 36 ft

Alicia: 10 yd and 4 ft= 34 ft

Lyona: about 10 yd= 30 ft

36 + 34 + 30 = 100

Answer:

$18,112.45 (nearest cent)

Step-by-step explanation:

Let y = value of the boat

Let x = the number of years

If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)

85% = 85/100 = 0.85

Therefore, the equation is:  [tex]y = 92000 \times 0.85^x[/tex]

So, when x = 10:

[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]

[tex]\huge\boxed{\boxed{Hello\:there!}}[/tex]

We are given the slope of the line and its y-intercept, so we can easily determine its equation.

Since we have the slope and the y-intercept, we can write the equation in slope-intercept form.

Slope-Intercept form looks like so:

y=mx+b

Where m is the slope and b is the y-intercept.

Slope: -1

Y-intercept: -5

Equation: y=-1x-5

y=-x-5 (Answer)

Hope it helps! Enjoy your day!

Please feel free to ask if you have any doubts.

-Sparkles-

Answer:

1:4

Step-by-step explanation:

15 - 3 = 12

3:12 = 1:4

Answer:

1:5

Step-by-step explanation:

hope this helps

Step-by-step explanation:

cars= 8, 24

trucks= 20

total ($)=

pounds=5

calories=

Answers and Step-by-step explanations:

(Answers are all bold-ed and underlined.)

For these problems, they are asking you to fill in the blanks by noticing and by trying to find a pattern. In order to determine what the values are, this will require multiplication and division.

Table 1:

For the cars side, we can notice that that side of the table is going by 4's. Because 4, 12 and 16 are all multiples of 4. So, let's fill in this side.

Cars:

4

8

12

16

20

And, if we look at the trucks side, we can also notice a pattern of 5's. The numbers 5, 10, 15, and 25 are all multiples of 5. Now we can fill in the trucks side.

Trucks:

5

10

15

20

25

We can notice a pattern that both sides of the equation are being multiplied by 1, 2, 3, and so on (4x1=4, 4x2=8, 4x3=12...).

Table 2:

This table requires a little bit more work. We are going to need to do division for this problem. First, let's pick a value on the "Total ($)" side. From there, we can then take the "Pounds" side and use that to find the rest of the answers. Because 1.50 is the number below the first column, it will be the easiest to use to find what goes in that first column. And because we are using this column, we also have to use the "Pounds" side as well. So our equation will look something like this:

1.50 ÷ 2 = 0.75

So we can now place this in the first column. We can now use this to fill out the rest of the table. Because 0.75 x 2 = 1.50, then we can conclude that those pounds represent what we are multiplying the 0.75 by.

Total ($):

0.75

1.50

2.25

3.00

6.00

For the pounds side all we have to do is divide the Total ($) sides by the 0.75 to get our answer.

Pounds:

1

2

3

4

8

Table 3:

This table shouldn't be very hard since it already gives us the first value. All we do is just multiply the cookies by the calories to get our answers for the Calories side.

Second column: 35 x 2 = 70, and so onto the rest of the columns.

Calories:

35

70

140

280

350

____________________________________

I hope that this helps.

Answer:

2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.

Step-by-step explanation:

Answer:

n ≤ 18

Step-by-step explanation:

The students can be 18 but they can't be greater than 18 so the inequality must be n ≤ 18.

Solution (Part-A)

Note that:

Let's reread the clue carefully.

{A class} must have {fewer} than {18 students}

     ↥                              ↥                        ↥

     n                             <                        18

The inequality formed: n < 18

This means that the solution of the inequality can be anything except 18 or above 18.

Solution (Part-B)

Note that:

Let's reread the clue carefully.

{The class} must have {at least} {15 students}

      n                                  ≥                15

The inequality formed: n ≥ 15

This means that the solution of the inequality can be 15 or less than 15.

Solution (Part-C)

The value of n that can be a solution of both inequalities can be 15, 16, and 17.

Hoped this helped!

From the computation regarding the series, it can be deduced that the sum of the first two terms will be 18.

From the information given, it was stated that the transport charge starts with a minimum charge of R8, and thereafter it was increased by R2 for each kilometer.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Also, expressing T2 in terms of S, and S2 will be T2 = S + S2.

Learn more about arithmetic series on:

brainly.com/question/24295771

Answer:

Assuming this is for a Conic Section. There is no property as it does not match a conic section.

Answer:

75 feet per second to feet per minute is 4500

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

9, 12, 12, 15, 16, 19, 19, 21, 24, 24

16 + 19 = 35 divided by 2 = 17.5

Answer:

Step-by-step explanation:

Given,

A camel drinks water in 10 minutes = 15 gallons

So,

Water drank by the camel in 1 minute = [tex]\frac{15}{10} gallon[/tex]

So, Water drank by the camel in 6 minutes

= ( [tex]\frac{15}{10}[/tex] × 6) gallons

= 1.5 × 6 gallons

= 9 gallons

Hence,

Amount of water drank by the camel in 6 minutes is 9 gallons of water. (Ans)

Answer:

  a) x = -2

  b) 8 integer values

Step-by-step explanation:

Matthew's solution is correct as far as it goes. However, he failed to take into account the possibility of negative square roots.

His solution might rightly look like ...

  3 < 3x² ≤ 75

  1 < x² ≤ 25 . . . . . divide by 3

  1 < ±x ≤ 5 . . . . . . take the square root

Separating the results:

  1 < x ≤ 5

  -1 > x ≥ -5 . . . . . . multiply by -1

The value x=-2 shows Matthew's solution is incorrect:

  3 < 3(-2)² ≤ 25   ⇒   3 < 12 ≤ 25 . . . true

__

x can have the integer values {-5, -4, -3, -2, 2, 3, 4, 5}, a total of 8 values.

__

In the attached, the white space (and dashed line) are the solution set. The shaded areas (and solid line) are excluded from the solution set.

_____

Additional comment

It can be helpful to remember that ...

  [tex]\sqrt{x^2}=|\,x|\ne x[/tex]

That is, values of x may be negative, but the positive square root will only show you a positive value.

Answer:

-The graph crosses the y-axis at the point (0,0)

None of the given options is correct

A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0

To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x

substitute x=0 into the equation y-9x to find the corresponding value of y

That is,

y=9(0)

y=0

therefore the graph crosses the y-axis at the point (0,0)

Step-by-step explanation:

hope it hlps

step by step explanation:

Jake brought a car = 1500rs

Jake sell the car = 1800

profit = sp-cp

so profit = 1800-1500 = 300

profit percent = gain/cp×100

profit percent = 300/1500×100

profit percent = 20% (double zero are cancel and 300 divided by 15)